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KoszulDivisorOnPic14M8 : Index
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experiment1
-- count the number of curves with extra syzygies and their ranks
getCurveOnKoszulDivisor
-- get a curve of genus 8 and degree 14 in P^6 on the Koszul divisor with syzygy of rank rk
getCurveOnKoszulDivisor(ZZ,PolynomialRing)
-- get a curve of genus 8 and degree 14 in P^6 on the Koszul divisor with syzygy of rank rk
KoszulDivisorOnPic14M8
-- Construction of random curves of degree 14 and genus 8
randomCanonicalCurveGenus8with8Points
-- compute a random canonical curve of genus 8 with 8 marked point
randomCanonicalCurveGenus8with8Points(PolynomialRing)
-- compute a random canonical curve of genus 8 with 8 marked point
randomCurveGenus8Degree14inP6
-- compute a random normal curve of genus g=8 and degree 14 in P^6
randomCurveGenus8Degree14inP6(PolynomialRing)
-- compute a random normal curve of genus g=8 and degree 14 in P^6
randomEllipticNormalCurve
-- compute a random elliptic normal curve in P^n
randomEllipticNormalCurve(PolynomialRing)
-- compute a random elliptic normal curve in P^n
unirationalityOfD1
-- compute a random normal curve of degree 14 and genus 8 in P^6 with an extra syzygy of rank 6
unirationalityOfD1(PolynomialRing)
-- compute a random normal curve of degree 14 and genus 8 in P^6 with an extra syzygy of rank 6